Minimality, controllability and observability for uncertain systems

Carolyn L Beck, Raffaello D'Andrea

Research output: Contribution to journalArticlepeer-review


A complete generalization of the notions of minimality, controllability and observability is presented for uncertain systems modelled by Linear Fractional Transformations on structured operators. Both an algebraic perspective and a geometric perspective are given. The algebraic results include necessary and sufficient Linear Matrix Inequality conditions for reducibility, and the development of structured controllability and observability matrices. The geometric approach involves a decomposition of the system variable space into reachable and unobservable subspaces. Both approaches lead to Kalman-like decomposition structures for uncertain systems.

Original languageEnglish (US)
Pages (from-to)3130-3135
Number of pages6
JournalProceedings of the American Control Conference
StatePublished - 1997
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering

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